Development of a Novel Riemann Solver for Solid Dynamics
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913984433618944 |
|---|---|
| author | Alshaar, Khoder Alhamwi Mandal, J C |
| author_facet | Alshaar, Khoder Alhamwi Mandal, J C |
| contents | This work presents a new finite volume framework for solid dynamics based on a momentum-deformation formulation. Building on the C-TOUCH methodology [1], a novel Roe-type Riemann solver is developed to enhance the stability and accuracy of hyperbolic conservation law solutions in solids. The approach naturally handles multidimensional problems and provides a foundation for future extensions to nonlinear and fluid-structure interaction cases. Validation against standard two- and three-dimensional linear elasticity benchmarks demonstrates the method's robustness and accuracy relative to traditional displacement-based approaches, highlighting its promise for large-scale dynamic simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07954 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Development of a Novel Riemann Solver for Solid Dynamics Alshaar, Khoder Alhamwi Mandal, J C Computational Physics Numerical Analysis This work presents a new finite volume framework for solid dynamics based on a momentum-deformation formulation. Building on the C-TOUCH methodology [1], a novel Roe-type Riemann solver is developed to enhance the stability and accuracy of hyperbolic conservation law solutions in solids. The approach naturally handles multidimensional problems and provides a foundation for future extensions to nonlinear and fluid-structure interaction cases. Validation against standard two- and three-dimensional linear elasticity benchmarks demonstrates the method's robustness and accuracy relative to traditional displacement-based approaches, highlighting its promise for large-scale dynamic simulations. |
| title | Development of a Novel Riemann Solver for Solid Dynamics |
| topic | Computational Physics Numerical Analysis |
| url | https://arxiv.org/abs/2508.07954 |